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math.GN2024
On the evolution of topological connectivity by thresholding of affinities. An application to public transport
Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez
In this paper we use the neighborhood topology generated by affinities between pairs of points in a set, in orden to explore the underlying dynamics of connectivity by thresholding…
math.GN2017
Uniform spaces and the Newtonian structure of (big)data affinity kernels
Hugo Aimar, Ivana Gómez
Let be a (data) set. Let be a measure of the affinity between the data points and . We prove that has the structure of a Newtonian potential $K(x,y)=φ(d(x…